The Directorate was an interstellar political entity formed around several smaller political entities.
The Jenchum Suzerainty formed part of the Directorate. (Star Trek: The Prospect Chronicles: "Starry, Starry Night")
It was not uncommon for the subordinate political entities to have little to no input from the Directorate. (Star Trek: The Prospect Chronicles: "Starry, Starry Night", "Honor Thy Father")
The Goffan system, including Goffan III and Goffan IV, and Rychri were planets under the Directorate's control. (Star Trek: The Prospect Chronicles: "Starry, Starry Night", "Honor Thy Father")